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120,315

120,315 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

120,315 (one hundred twenty thousand three hundred fifteen) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 3 × 5 × 13 × 617. Written other ways, in hexadecimal, 0x1D5FB.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
513,021
Square (n²)
14,475,699,225
Cube (n³)
1,741,643,752,255,875
Divisor count
16
σ(n) — sum of divisors
207,648
φ(n) — Euler's totient
59,136
Sum of prime factors
638

Primality

Prime factorization: 3 × 5 × 13 × 617

Nearest primes: 120,299 (−16) · 120,319 (+4)

Divisors & multiples

All divisors (16)
1 · 3 · 5 · 13 · 15 · 39 · 65 · 195 · 617 · 1851 · 3085 · 8021 · 9255 · 24063 · 40105 · 120315
Aliquot sum (sum of proper divisors): 87,333
Factor pairs (a × b = 120,315)
1 × 120315
3 × 40105
5 × 24063
13 × 9255
15 × 8021
39 × 3085
65 × 1851
195 × 617
First multiples
120,315 · 240,630 (double) · 360,945 · 481,260 · 601,575 · 721,890 · 842,205 · 962,520 · 1,082,835 · 1,203,150

Sums & aliquot sequence

As consecutive integers: 60,157 + 60,158 40,104 + 40,105 + 40,106 24,061 + 24,062 + 24,063 + 24,064 + 24,065 20,050 + 20,051 + 20,052 + 20,053 + 20,054 + 20,055
Aliquot sequence: 120,315 87,333 31,995 26,085 17,691 5,901 3,123 1,401 471 161 31 1 0 — terminates at zero

Continued fraction of √n

√120,315 = [346; (1, 6, 2, 1, 1, 1, 1, 1, 3, 3, 1, 9, 3, 2, 8, 1, 16, 1, 8, 2, 3, 9, 1, 3, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand three hundred fifteen
Ordinal
120315th
Binary
11101010111111011
Octal
352773
Hexadecimal
0x1D5FB
Base64
AdX7
One's complement
4,294,846,980 (32-bit)
Scientific notation
1.20315 × 10⁵
As a duration
120,315 s = 1 day, 9 hours, 25 minutes, 15 seconds
In other bases
ternary (3) 20010001010
quaternary (4) 131113323
quinary (5) 12322230
senary (6) 2325003
septenary (7) 1010526
nonary (9) 203033
undecimal (11) 82438
duodecimal (12) 59763
tridecimal (13) 429c0
tetradecimal (14) 31bbd
pentadecimal (15) 259b0

As an angle

120,315° = 334 × 360° + 75°
75° ≈ 1.309 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκτιεʹ
Mayan (base 20)
𝋯·𝋠·𝋯·𝋯
Chinese
一十二萬零三百一十五
Chinese (financial)
壹拾貳萬零參佰壹拾伍
In other modern scripts
Eastern Arabic ١٢٠٣١٥ Devanagari १२०३१५ Bengali ১২০৩১৫ Tamil ௧௨௦௩௧௫ Thai ๑๒๐๓๑๕ Tibetan ༡༢༠༣༡༥ Khmer ១២០៣១៥ Lao ໑໒໐໓໑໕ Burmese ၁၂၀၃၁၅

Also seen as

Unicode codepoint
𝗻
Mathematical Sans-Serif Bold Small N
U+1D5FB
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 97 BB (4 bytes).

Hex color
#01D5FB
RGB(1, 213, 251)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.251.

Address
0.1.213.251
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.251

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 120,315 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 120315 first appears in π at position 783,056 of the decimal expansion (the 783,056ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.